Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #131×D271 |
| Fitting | #131×C271 ⋊ C2 |
| Sylow | C271 ⋊ C2×#131 |
266 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 149 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 4336 |
2740 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #350×D271, #46837990, #443×D271, … |
| maximal normal subgroup of | #350×D271, #46837990, #443×D271, … |
| maximal quotient of | #405×D271, #131×Dic271, #46844786, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 1310);